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122648336 = 2417450913
BaseRepresentation
bin1110100111101…
…11011100010000
322112210011212222
413103313130100
5222344221321
620100440212
73016331216
oct723673420
9275704788
10122648336
1163260568
12350a9068
131c5434a5
1412408cb6
15ab7a3ab
hex74f7710

122648336 has 20 divisors (see below), whose sum is σ = 251610012. Its totient is φ = 57716736.

The previous prime is 122648321. The next prime is 122648371. The reversal of 122648336 is 633846221.

It can be written as a sum of positive squares in 2 ways, for example, as 36529936 + 86118400 = 6044^2 + 9280^2 .

It is a super-2 number, since 2×1226483362 = 30085228647137792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122648296 and 122648305.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 225185 + ... + 225728.

Almost surely, 2122648336 is an apocalyptic number.

122648336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122648336 is an abundant number, since it is smaller than the sum of its proper divisors (128961676).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122648336 is a wasteful number, since it uses less digits than its factorization.

122648336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450938 (or 450932 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 122648336 is about 11074.6709206188. The cubic root of 122648336 is about 496.8445764951.

The spelling of 122648336 in words is "one hundred twenty-two million, six hundred forty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 450913 901826 1803652 3607304 7214608 7665521 15331042 30662084 61324168 122648336